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The number X of people entering the intensive care unit at a particular hospital on any one day has a Poisson probability distribution with mean

  1. The number X of people entering the intensive care unit at a particular hospital on any one day has a Poisson probability distribution with mean equal to five people per day. (6 marks)
    1. What is the probability that the number of people entering the intensive care unit on a particular day is two? Less than or equal to two? (4 marks)
    2. Is it likely that X will exceed 10? Explain. (2 marks)

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